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Which of the following is equal to the fraction below? (7/4)^ 11

Which of the following is equal to the fraction below? (7/4)^ 11-example-1

2 Answers

3 votes

When you multiply an exponent directly into another exponent, you multiply the exponents

(for a fraction, you multiply the exponent to both the numerator and denominator)

For example:


(x^(2))^5=x^(2(5))=x^(10)


((x^3)/(y^2) )^5=(x^(3(5)))/(y^(2(5))) =(x^(15))/(y^(10))




((7)/(4))^(11)=((7^1)/(4^1))^(11)=(7^(11))/(4^(11))

Your answer is A

User Chilion
by
7.4k points
5 votes

Answer:


((7^(11))/(4^(11)))

Explanation:


((7)/(4))^(11)

To simplify this fractional exponent we apply exponential property


((x)/(y))^m=(x^m)/(y^m)

As per this property , we multiply the exponent inside the fraction

Multiply the exponent 11 inside the fraction

Multiply the exponent 11 with 7 and then 4


((7)/(4))^(11)


((7^(11))/(4^(11)))

User Dwightjl
by
7.8k points

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